Tabitha is raising money for the American Cancer Society. To raise money, she takes donations from family and friends and does a “walk-a-thon” where she will earn money for each mile she walks. She collects $18 for every mile that she walked. In addition, her grandmother gave her a $72 donation. She collected $234 in total.

Write and solve an equation to find the number of miles, m, Tabitha walked. Explain your equation in the context of this equation and validate your result.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Need ! discuss how to convert the standard form of the equation of a circle to the general form. 50 points

Find the value of x for which abcd must be a parallelogram -9-6x x-30